Samples and Margin of Error

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What is a population in statistics?

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A population is the entire group of individuals or instances about whom we hope to learn.

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What is a sample in statistics?

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A sample is a subset of a population used to represent the entire group in statistical analysis.

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What is a sample survey?

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A sample survey is a method of data collection where a subset of individuals is selected from a larger population and asked questions in order to gather information.

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What is the purpose of conducting a survey?

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The purpose of conducting a survey is to gather information and insights about a population's opinions, behaviors, or characteristics.

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What does it mean to increase randomness in sampling?

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Increasing randomness means selecting individuals in a way that every member of the population has an equal chance of being chosen, reducing bias.

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What is the margin of error?

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The margin of error is a measure of the uncertainty in survey results, indicating the range within which the true population parameter is expected to fall.

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What is the relationship between sample size and variability?

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Increasing sample size generally decreases variability, leading to more reliable estimates of the population parameters.

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Why is a larger sample size generally better?

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A larger sample size reduces the margin of error and increases the accuracy of the results.

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What is a confidence interval?

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A confidence interval is a range of values, derived from a sample, that is likely to contain the true population parameter.

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How do you interpret a margin of error of 3%?

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A margin of error of 3% means that the true population parameter is expected to fall within 3 percentage points above or below the reported statistic.